Isogeometric Analysis with Trimming Technique for the Waveguide Eigenvalue Problem

LIN Gao; LI Peng; LIU Jun; ZHANG Yong; WANG Feng

doi:10.3969/j.issn.0372-2112.2016.10.038

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Isogeometric Analysis with Trimming Technique for the Waveguide Eigenvalue Problem

更新时间：2025-07-16

- Isogeometric Analysis with Trimming Technique for the Waveguide Eigenvalue Problem
- Acta Electronica Sinica Vol. 44, Issue 10, Pages: 2548-2555(2016)
- 作者机构：
  
  1. 大连理工大学水利工程学院,辽宁,大连,116024
  2. 上海交通大学海洋工程国家重点实验室,上海,200240
  3. 中国科学院合肥物质科学研究院核能安全技术研究所,安徽,合肥,230031
  4. 大连理工大学水利工程学院,辽宁,大连,116024
  5. 上海交通大学海洋工程国家重点实验室,上海,200240
  6. 中国科学院合肥物质科学研究院核能安全技术研究所,安徽,合肥,230031
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.51409038, No.51138001);China Postdoctoral Science Foundation (No.2013M530919, No.2014T70251);Open Fund of State Laboratory of Ocean Engineering of Shanghai Jiao Tong University (No.1202);Fundamental Research Funds for the Central Universities (No.DUT15RC (4)23)
- DOI：10.3969/j.issn.0372-2112.2016.10.038
  CLC： TN925
- Published：2016
- 稿件说明：
移动端阅览
LIN Gao, LI Peng, LIU Jun, et al. Isogeometric Analysis with Trimming Technique for the Waveguide Eigenvalue Problem[J]. Acta Electronica Sinica, 2016, 44(10): 2548-2555.
DOI：

LIN Gao, LI Peng, LIU Jun, et al. Isogeometric Analysis with Trimming Technique for the Waveguide Eigenvalue Problem[J]. Acta Electronica Sinica, 2016, 44(10): 2548-2555. DOI： 10.3969/j.issn.0372-2112.2016.10.038.

摘要

等几何分析方法使得几何模型和分析模型能够用NURBS统一表达，避免了模型转换过程，但由于其分析域是由张量积面片构成，很难处理截面形式复杂的多联通域问题.裁剪造型等几何分析方法通过背景曲面和裁剪曲线将复杂带孔结构作为一个被NURBS曲线裁剪后的参数区域直接映射而成，只需要一个参数空间就可以表示任意复杂的拓扑结构，该方法既保留了传统等几何分析方法的优点，又实现了对复杂多孔结构的处理.本文将裁剪造型的等几何分析方法扩展到TE波的波导本征值问题，对复杂多孔结构的截止波数进行有效求解，并通过相应的数值算例验证方法的有效性和高精度性.

Abstract

The geometric model and analysis model can be uniformly described by NURBS in isogeometric analysis method

so the model transformation process is avoided.However

since the analysis domain of IGA should be composed of tensor-product patches

it is difficult to deal with the issue of complex multiply connected domains.IGA based on trimming technique is constructed by NURBS geometric modeling of underlying surface and trimming curve

and then

directly map a parameter space trimmed by NURBS curve as the complicated holed structure

only one parameter space is sufficient to describe arbitrary complex topology.The advantages and properties of conventional IGA are maintained

and also

the range application of IGA is enlarged.In this paper

IGA based on trimming technique is expanded to the TE waveguide eigenvalue problem.With the solution of cutoff wave number for complicated multiholes structure

the effectiveness and high accuracy of proposed method are demonstrated by corresponding numerical examples.

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